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Finding the Fourth Proportional to 31,802.50, 47,703.75 and 9,914.50

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Solution

The fourth proportional to 31,802.50, 47,703.75 and 9,914.50 is: 14,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802.50 : 47,703.75 = 9,914.50 : x
  2. Step 2: Convert to fraction form
    31,802.50/47,703.75 = 9,914.50/x
  3. Step 3: Cross multiply
    31,802.50x = 47,703.75 × 9,914.50
  4. Step 4: Simplify right side
    31,802.50x = 472,958,829.38
  5. Step 5: Solve for x
    x = 472,958,829.38/31,802.50
  6. Step 6: Final answer
    x = 14,871.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.